{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Bias" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "***\n", "\n", "**[Bias - HyperStat Online](http://davidmlane.com/hyperstat/A9257.html)**\n", "\n", "*[http://davidmlane.com/hyperstat/A9257.html](http://davidmlane.com/hyperstat/A9257.html)*\n", "\n", "***" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import scipy.stats as ss\n", "import seaborn as sns\n", "\n", "plt.style.use('ggplot')\n", "plt.rcParams['figure.figsize'] = 14, 10" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Location and scale" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(-10.0, 10.0, 1000)\n", "\n", "plt.fill(x, ss.norm.pdf(x, loc= 0.0, scale=1.0), label=\"$\\mu = 0.0, \\sigma = 1.0$\", c='b', alpha=0.6, lw=3.0)\n", "plt.fill(x, ss.norm.pdf(x, loc= 2.0, scale=1.0), label=\"$\\mu = 2.0, \\sigma = 1.0$\", c='r', alpha=0.6, lw=3.0)\n", "plt.fill(x, ss.norm.pdf(x, loc= 0.0, scale=2.0), label=\"$\\mu = 0.0, \\sigma = 2.0$\", c='g', alpha=0.6, lw=3.0)\n", "plt.fill(x, ss.norm.pdf(x, loc=-1.0, scale=0.6), label=\"$\\mu =-1.0, \\sigma = 0.6$\", c='y', alpha=0.6, lw=3.0)\n", "\n", "plt.title(\"Normal distribution for different $\\mu$ and $\\sigma$\")\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Probability" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(-3.0, 3.0, 1000)\n", "y = ss.norm.pdf(x, loc= 0.0, scale=1.0)\n", "\n", "xseg = x[np.logical_and(-1.0 < x, x < 1.4)]\n", "yseg = y[np.logical_and(-1.0 < x, x < 1.4)]\n", "\n", "plt.plot(x, y, color='k', alpha=0.5)\n", "plt.fill_between(xseg, yseg, color='b', alpha=0.5)\n", "plt.axvline(x=-1.0, color='grey', linestyle=':')\n", "plt.axvline(x= 1.4, color='grey', linestyle=':')\n", "\n", "plt.text(0.2, 0.15,\n", " r'$P (a \\leq X \\leq b) = \\int_a^b \\frac{1}{\\sqrt{2\\pi\\sigma^2} } e^{ -\\frac{(x-\\mu)^2}{2\\sigma^2} } \\, dx$',\n", " horizontalalignment='center', size=17)\n", "\n", "plt.axhline(y= 0.0, color='black', linestyle='-')\n", "\n", "plt.title(\"Probability of $x$ between $a$ and $b$\");" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(-5.0, 5.0, 10000)\n", "plt.plot(x, ss.norm.pdf(x, loc=0.0, scale=1.0), 'k-', lw=1.0)\n", "\n", "xseg = x[np.logical_and(-5.0 <= x, x <= -3.0)]\n", "plt.fill_between(xseg, ss.norm.pdf(xseg), color='y', alpha=0.5, linewidth=0)\n", "xseg = x[np.logical_and(-3.0 <= x, x <= -2.0)]\n", "plt.fill_between(xseg, ss.norm.pdf(xseg), color='r', alpha=0.5, linewidth=0)\n", "xseg = x[np.logical_and(-2.0 <= x, x <= -1.0)]\n", "plt.fill_between(xseg, ss.norm.pdf(xseg), color='g', alpha=0.5, linewidth=0)\n", "xseg = x[np.logical_and(-1.0 <= x, x <= 1.0)]\n", "plt.fill_between(xseg, ss.norm.pdf(xseg), color='b', alpha=0.5, linewidth=0, label=\"$1 \\sigma = 68.27\\%$\")\n", "xseg = x[np.logical_and( 1.0 <= x, x <= 2.0)]\n", "plt.fill_between(xseg, ss.norm.pdf(xseg), color='g', alpha=0.5, linewidth=0, label=\"$2 \\sigma = 95.45\\%$\")\n", "xseg = x[np.logical_and( 2.0 <= x, x <= 3.0)]\n", "plt.fill_between(xseg, ss.norm.pdf(xseg), color='r', alpha=0.5, linewidth=0, label=\"$3 \\sigma = 99.73\\%$\")\n", "xseg = x[np.logical_and( 3.0 <= x, x <= 5.0)]\n", "plt.fill_between(xseg, ss.norm.pdf(xseg), color='y', alpha=0.5, linewidth=0)\n", "\n", "plt.title(\"Normal Disribution - Probability Distribution Function\")\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Sampling distribution" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[ 0.473 0.342 -1.088 ... -0.103 0.332 0.327]\n", " [-0.159 -0.917 0.213 ... 0.645 1.101 -1.220]\n", " [-1.581 0.369 0.565 ... -0.689 0.547 -1.267]\n", " ...\n", " [-0.826 -0.147 -0.641 ... 0.508 -0.303 0.708]\n", " [ 0.292 0.795 -0.420 ... -0.036 0.512 -1.995]\n", " [ 0.835 -0.075 -0.684 ... 1.716 0.502 1.194]]\n" ] } ], "source": [ "np.set_printoptions(formatter={'float': lambda x: \"{0:6.3f}\".format(x)})\n", "\n", "sampsize = 10\n", "nosamps = 1000\n", "\n", "samp = np.random.standard_normal((nosamps, sampsize))\n", "\n", "print(samp)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 0.030 -0.096 -0.529 0.188 -0.198 -0.141 -0.106 0.214 -0.385 0.119\n", " 0.059 0.399 0.260 0.456 0.142 0.258 -0.091 0.259 0.397 0.265\n", " 0.296 0.086 0.115 -0.071 -0.304 0.097 -0.158 -0.265 0.246 -0.500\n", " -0.383 -0.143 0.123 0.062 0.692 -0.176 -0.062 0.439 -0.055 0.429\n", " -0.529 -0.266 -0.052 0.282 -0.188 -0.446 0.176 0.289 0.292 0.381\n", " 0.614 0.587 0.386 -0.043 -0.093 0.317 -0.105 -0.108 -0.161 -0.099\n", " -0.022 -0.597 0.114 0.109 0.026 -0.469 0.377 -0.127 0.141 0.197\n", " 0.407 0.777 -0.099 0.343 -0.275 0.058 -0.218 0.058 -0.312 0.279\n", " 0.006 0.422 0.053 -0.125 -0.647 -0.206 -0.070 -0.325 0.827 -0.048\n", " 0.037 -0.374 -0.238 0.632 -0.254 0.098 0.387 -0.393 0.150 0.254\n", " -0.330 -0.076 0.214 0.014 0.326 0.121 -0.154 0.125 0.214 0.347\n", " 0.339 -0.086 -0.326 -0.008 -0.398 -0.237 0.530 -0.158 0.390 -0.529\n", " -0.248 -0.632 -0.136 0.221 0.029 0.267 1.002 0.359 0.208 -0.460\n", " -0.077 -0.365 -0.256 -0.044 -0.240 0.020 0.626 0.406 0.277 -0.142\n", " -0.393 -0.278 -0.071 -0.164 0.137 -0.071 0.177 0.143 -0.028 0.100\n", " -0.154 -0.522 -0.103 0.190 0.477 0.104 0.334 -0.103 -0.521 -0.333\n", " -0.510 0.637 0.124 -0.199 -0.073 0.236 -0.228 -0.341 -0.010 0.275\n", " 0.032 0.443 0.337 0.731 0.095 0.315 -0.087 0.768 0.219 0.263\n", " -0.158 0.225 -0.100 0.085 0.501 -0.371 -0.176 -0.388 -0.164 -0.370\n", " -0.042 0.241 0.792 0.343 -0.311 0.123 -0.206 -0.140 -0.411 0.188\n", " -0.200 -0.072 -0.121 0.231 -0.696 0.137 0.735 0.646 -0.705 -0.512\n", " -0.365 -0.139 -0.094 0.071 0.223 0.423 0.090 0.016 0.064 0.236\n", " -0.530 0.709 -0.396 0.153 0.276 0.133 -0.299 0.378 -0.052 -0.055\n", " 0.176 0.307 0.198 -0.003 0.149 -0.045 -0.099 0.089 -0.692 -0.137\n", " -0.486 0.242 -0.268 0.070 0.091 0.321 0.391 0.063 0.380 0.007\n", " 0.128 0.255 -0.784 0.218 -0.047 -0.767 0.434 0.677 -0.451 -0.465\n", " 0.164 0.299 0.204 0.161 0.489 -0.372 0.147 -0.176 -0.091 -0.096\n", " -0.060 0.095 0.188 0.140 -0.158 0.191 0.215 0.133 0.069 -0.220\n", " 0.276 0.163 -0.173 0.291 0.328 -0.644 -0.127 -0.445 0.371 0.136\n", " 0.343 0.457 0.667 -0.454 0.430 0.048 0.136 -0.082 -0.216 0.188\n", " 0.599 -0.649 -0.024 0.324 0.682 0.886 -0.410 0.174 0.166 -0.118\n", " 0.164 -0.191 0.532 -0.039 -0.195 -0.019 -0.416 -0.033 0.309 0.425\n", " 0.303 0.110 -0.197 0.322 0.093 0.160 -0.271 -0.659 -0.404 0.396\n", " 0.268 -0.328 -0.314 0.149 -0.107 -0.444 0.135 -0.031 -0.560 -0.171\n", " -0.143 0.825 0.090 0.028 -0.329 0.196 -0.131 0.049 -0.126 0.345\n", " -0.152 0.805 -0.072 -0.163 -0.018 0.011 0.497 -0.612 -0.264 -0.396\n", " -0.161 0.554 0.452 0.225 -0.699 0.122 -0.192 -0.140 -0.047 0.488\n", " 0.662 0.351 -0.020 -0.032 -0.165 0.537 0.094 0.036 -0.616 0.111\n", " 0.225 0.121 -0.478 0.324 0.319 0.168 0.322 -0.335 0.672 -0.369\n", " -0.616 0.609 0.227 0.121 0.125 0.150 0.125 0.058 -0.072 0.137\n", " -0.138 0.320 0.285 0.050 0.113 -0.206 0.231 0.158 0.072 0.689\n", " 0.170 0.151 -0.072 -0.305 0.130 0.026 -0.022 0.078 0.300 0.254\n", " 0.376 -0.007 0.284 0.696 0.305 0.105 -0.326 -0.048 0.245 -0.719\n", " -0.039 -0.066 0.156 0.338 -0.351 0.250 0.441 -0.291 0.057 0.074\n", " -0.529 0.324 -0.337 0.325 -0.488 -0.302 -0.134 0.317 -0.281 -0.205\n", " -0.430 -0.092 -0.380 0.360 0.078 -0.103 0.730 0.533 -0.025 0.454\n", " 0.007 0.434 -0.444 0.374 0.713 0.354 0.236 0.358 -0.412 -0.225\n", " -0.577 0.004 -0.061 0.289 0.283 -0.430 -0.447 -0.354 -0.371 0.828\n", " 0.622 -0.421 0.349 0.258 -0.097 -0.267 0.102 0.158 0.297 -0.289\n", " -0.228 -0.478 -0.222 -0.206 0.267 -0.325 0.108 -0.590 -0.036 0.213\n", " -0.193 0.569 0.011 0.210 0.224 -0.576 0.120 0.444 -0.285 -0.044\n", " -0.309 0.062 -0.168 -0.168 0.201 0.239 -0.133 -0.297 0.317 0.046\n", " 0.101 -0.430 0.288 0.019 -0.040 0.130 0.217 0.082 0.361 -0.052\n", " -0.233 0.167 0.056 -0.174 -0.127 0.062 0.289 -0.267 0.526 -0.220\n", " -0.049 0.070 0.005 -0.209 -0.429 -0.044 -0.281 0.301 -0.139 -0.738\n", " 0.065 -0.469 0.726 0.353 0.505 -0.031 -0.308 0.506 -0.170 -0.510\n", " 0.665 0.046 -0.539 0.256 -0.117 -0.287 0.356 0.026 0.173 0.460\n", " 0.296 -0.010 0.007 -0.195 0.144 -0.267 0.062 -0.377 -0.086 0.394\n", " -0.400 0.293 -0.171 0.457 0.236 -0.232 0.168 -0.587 -0.204 -0.176\n", " 0.187 -0.895 0.655 -0.887 0.061 0.309 -0.421 -0.004 -0.337 -0.238\n", " 0.013 0.403 -0.090 -0.317 -0.114 -0.438 0.251 0.110 0.246 0.175\n", " 0.325 -0.308 0.313 -0.234 -0.062 0.502 -0.091 -0.565 -0.030 0.171\n", " 0.054 0.066 -0.260 -0.065 0.872 0.306 -0.133 -0.192 -0.160 0.244\n", " -0.168 0.243 -0.267 0.235 0.322 0.020 0.253 0.381 -0.126 0.447\n", " -0.128 -0.444 0.269 -0.222 0.110 0.207 0.058 0.096 0.343 0.402\n", " -0.294 -0.050 0.393 0.336 -0.082 0.373 0.135 -0.266 0.146 0.255\n", " -0.398 0.078 -0.714 -0.433 0.084 0.630 -0.169 0.312 -0.174 0.104\n", " -0.111 0.193 0.016 0.234 0.366 -0.223 0.122 0.055 0.221 -0.050\n", " 0.273 0.385 -0.216 -0.028 -0.213 0.054 0.409 0.349 0.003 0.775\n", " -0.160 0.237 -0.314 0.166 -0.194 0.132 -0.019 0.126 -0.049 0.411\n", " -0.261 -0.112 0.429 -0.670 -0.381 -0.013 -0.164 -0.114 -0.088 0.191\n", " 0.268 0.271 0.536 -0.500 -0.127 0.338 0.220 -0.157 -0.053 -0.123\n", " -0.541 -0.145 0.356 -0.030 -0.248 0.169 -0.462 -0.100 0.577 0.063\n", " -0.392 -0.390 -0.141 0.449 0.165 0.195 0.011 0.596 -0.131 0.378\n", " 0.543 0.032 -0.066 0.045 -0.370 -0.009 -0.289 0.143 -0.258 0.485\n", " -0.069 -0.480 -0.239 0.101 -0.136 -0.191 0.130 -0.094 0.183 0.028\n", " 0.339 -0.352 -0.177 -0.116 -0.061 0.095 0.208 -0.436 -0.286 -0.308\n", " -0.150 0.074 0.329 0.207 -0.380 0.064 0.206 0.223 0.101 -0.369\n", " -0.354 -0.230 0.021 0.387 0.346 0.473 0.193 -0.187 0.062 0.589\n", " -0.274 -0.126 0.093 0.085 -0.382 0.414 -0.307 0.006 0.379 0.006\n", " 0.184 -0.023 -0.296 -0.260 -0.465 -0.301 0.064 -0.365 0.364 0.347\n", " 0.105 -0.175 0.118 0.067 -0.734 -0.512 -0.380 -0.009 0.065 0.306\n", " -0.124 0.168 -0.045 -0.559 -0.470 -0.209 -0.053 0.028 0.056 -0.331\n", " 0.236 -0.074 0.494 -0.247 0.285 -0.475 -0.022 0.098 -0.460 0.144\n", " 0.291 -0.610 -0.110 -0.299 -0.100 -0.375 -0.384 -0.074 -0.001 -0.274\n", " 0.098 0.283 -0.187 -0.266 -0.091 -0.254 0.279 0.146 -0.264 -0.182\n", " 0.229 0.675 -0.166 -0.069 -0.108 0.459 -0.251 -0.758 0.478 -0.106\n", " 0.235 0.037 -0.329 -0.220 -0.284 0.436 0.574 -0.028 0.627 -0.571\n", " 0.624 -0.301 -0.671 -0.032 -0.491 0.200 0.376 -0.318 -0.610 -0.332\n", " -0.502 0.057 -0.071 1.048 0.775 -0.028 0.607 0.283 0.018 -0.527\n", " 0.563 0.069 -0.389 -0.370 -0.598 -0.086 0.407 -0.103 0.336 -0.079\n", " 0.209 -0.009 0.036 0.425 -0.354 0.268 0.705 0.339 0.259 -0.355\n", " -0.393 -0.628 0.679 -0.006 0.181 0.434 -0.160 -0.041 0.660 -0.471\n", " -0.081 0.113 0.344 -0.607 0.121 0.108 -0.438 0.781 0.244 0.157\n", " 0.110 -0.281 -0.119 -0.191 0.324 0.210 -0.637 0.509 -0.080 -0.239\n", " -0.140 0.437 -0.648 0.083 -0.463 0.728 0.131 -0.477 0.697 -0.122\n", " 0.047 0.387 0.440 0.261 -0.077 0.468 -0.629 -0.549 0.244 -0.209\n", " 0.338 0.105 0.304 -0.332 0.259 0.408 0.146 0.272 -0.042 0.436\n", " -0.017 0.314 0.188 -0.444 0.233 -0.012 -0.212 -0.274 0.301 0.414\n", " -0.366 -0.001 0.358 -0.339 -0.120 -0.060 0.072 -0.122 -0.359 0.424]\n" ] } ], "source": [ "mean = samp.sum(axis=1) / sampsize\n", "print(mean)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.9026900725759749\n", "1.002988969528861\n" ] } ], "source": [ "# Calculate the variance.\n", "vari = (samp - mean[:, np.newaxis])**2\n", "vari = vari.sum(axis=1) / (sampsize)\n", "\n", "# Without the correction.\n", "mean_vari = vari.sum() / nosamps\n", "print(mean_vari)\n", "\n", "# Using Bessel's correction: https://en.wikipedia.org/wiki/Bessel%27s_correction\n", "print(mean_vari * (sampsize / (sampsize - 1.0)))" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\mclou\\Anaconda3\\lib\\site-packages\\scipy\\stats\\stats.py:1713: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n", " return np.add.reduce(sorted[indexer] * weights, axis=axis) / sumval\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.distplot(vari);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## End" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.7" } }, "nbformat": 4, "nbformat_minor": 4 }